3661036288 has 144 divisors (see below), whose sum is σ = 9215954496. Its totient is φ = 1412628480.

The previous prime is 3661036279. The next prime is 3661036363. The reversal of 3661036288 is 8826301663.

3661036288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 953220 + ... + 957052.

It is an arithmetic number, because the mean of its divisors is an integer number (63999684).

Almost surely, 2^3661036288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661036288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607977248).

3661036288 is an abundant number, since it is smaller than the sum of its proper divisors (5554918208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3661036288 is a wasteful number, since it uses less digits than its factorization.

3661036288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 3661036288 is about 60506.4978989860. The cubic root of 3661036288 is about 1541.2319775733.

The spelling of 3661036288 in words is "three billion, six hundred sixty-one million, thirty-six thousand, two hundred eighty-eight".